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Simplifying 8 = 5 + -3(2t + -1) Reorder the terms: 8 = 5 + -3(-1 + 2t) 8 = 5 + (-1 * -3 + 2t * -3) 8 = 5 + (3 + -6t) Combine like terms: 5 + 3 = 8 8 = 8 + -6t Add '-8' to each side of the equation. 8 + -8 = 8 + -8 + -6t Combine like terms: 8 + -8 = 0 0 = 8 + -8 + -6t Combine like terms: 8 + -8 = 0 0 = 0 + -6t 0 = -6t Solving 0 = -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. 0 + 6t = -6t + 6t Remove the zero: 6t = -6t + 6t Combine like terms: -6t + 6t = 0 6t = 0 Divide each side by '6'. t = 0 Simplifying t = 0
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